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 "cells": [
  {
   "source": [
    "# 1、常用数据分布"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "## 结合Scipy的统计函数来展示正态分布的概率密度函数、分布函数、分位数、随机数生成以及统计指标"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.style.use(['science', 'ieee', 'grid', 'muted'])"
   ]
  },
  {
   "source": [
    "### 概率密度函数 返回$N(\\mu, \\sigma^2)$的概率密度函数在x出的值"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "pdf: [0.31777657 0.39894228 0.31777657]\n"
     ]
    }
   ],
   "source": [
    "pdf = stats.norm.pdf([-0.67448975, 0, 0.67448975], loc = 0, scale = 1)\n",
    "print('pdf: {}'.format(pdf))"
   ]
  },
  {
   "source": [
    "### 概率分布函数 返回$N(\\mu, \\sigma^2)$的概率密度函数在 负无穷 到 $x$ 上的积分，也就是概率分布函数的值"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "cdf: [0.25 0.5  0.75]\n"
     ]
    }
   ],
   "source": [
    "cdf = stats.norm.cdf([-0.67448975, 0, 0.67448975], loc = 0, scale = 1)\n",
    "print('cdf: {}'.format(cdf))"
   ]
  },
  {
   "source": [
    "### 累计分布函数cdf的逆函数，相当于是求概率分布函数的分位数"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "ppf: [-0.67448975  0.          0.67448975]\n"
     ]
    }
   ],
   "source": [
    "ppf = stats.norm.ppf([0.25, 0.5, 0.75])\n",
    "print('ppf: {}'.format(ppf))"
   ]
  },
  {
   "source": [
    "### 使用ppf和np.linspace 生成数据，求pdf。绘制pdf曲线"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "cdf_n = np.linspace(stats.norm.ppf(1e-2, loc = 0, scale = 1), stats.norm.ppf(0.99, loc = 0, scale = 1), 100)\n",
    "plt.plot(stats.norm.pdf(cdf_n, loc = 0, scale = 1), 'b-', label = 'norm')"
   ]
  },
  {
   "source": [
    "### 绘制cdf曲线"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fcf332aa0f0>]"
      ]
     },
     "metadata": {},
     "execution_count": 8
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.plot(stats.norm.cdf(cdf_n, loc = 0, scale = 1), 'b-', label = 'norm')"
   ]
  },
  {
   "source": [
    "### rvs 生成服从指定分布的随机数，设置随机种子random_state=1"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "rvs_n: [ 1.62434536 -0.61175641 -0.52817175 ... -1.01414382 -0.06269623\n -1.43786989]\ndescribe: DescribeResult(nobs=10000, minmax=(-3.656440099254795, 4.026849044547378), mean=0.00977265669910497, variance=0.9976729288445313, skewness=0.0249045712813166, kurtosis=0.028669537652855848)\n"
     ]
    }
   ],
   "source": [
    "rvs_n = stats.norm.rvs(loc = 0, scale = 1, size = 10000, random_state = 1)\n",
    "print('rvs_n: {}'.format(rvs_n))\n",
    "# describe 统计描述函数\n",
    "describe = stats.describe(rvs_n)\n",
    "print('describe: {}'.format(describe))"
   ]
  },
  {
   "source": [
    "# 2、scikit-learn 数据集生成接口"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "### 生成分类模型随机数据"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fcf3a0fb470>"
      ]
     },
     "metadata": {},
     "execution_count": 14
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from sklearn.datasets import make_classification\n",
    "\n",
    "# X为样本特征，Y为样本类别输出，共1000个样本，每个样本5个特征，输出有2个类别，没有冗余特征，每个类别一个簇\n",
    "X, Y = make_classification(n_samples = 1000, n_features = 5, n_redundant = 0, n_informative = 1, n_clusters_per_class = 1, n_classes = 2, random_state = 20)\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o', c=Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fcf33c65f60>]"
      ]
     },
     "metadata": {},
     "execution_count": 15
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from sklearn.datasets import make_regression\n",
    "\n",
    "# X为样本特征，Y为样本类别输出，共1000个样本，每个样本3个特征，返回回归系数\n",
    "X, Y, coef = make_regression(n_samples = 1000, n_features = 3, noise = 10, coef = True, random_state = 20)\n",
    "plt.scatter(X[:, 0], Y, c='b', s=3)\n",
    "plt.plot(X[:, 0], X[:, 0] * coef[0], c='r')"
   ]
  },
  {
   "source": [
    "### 聚类模型随机数据生成"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fce41b905c0>"
      ]
     },
     "metadata": {},
     "execution_count": 16
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "# X为样本特征，Y为样本类别输出，共1000个样本，每个样本2个特征，共3个簇，簇中心在[-1, -1], [1, 1], [2, 2], 簇方差分别为[0.4, 0.5, 0.2]\n",
    "X, Y = make_blobs(n_samples = 1000, n_features = 5, centers = [[-2, -1], [1, -0.5], [2, 1]], cluster_std = [0.6, 0.3, 0.5], random_state = 20)\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o', c=Y)"
   ]
  }
 ]
}